Affine toric varieties with an open orbit of an SL_n action

2018/12/25 by Medved, Nikita
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.10058

Abstract

We study affine toric varieties with an action of group SL_n with a dense orbit. A characterisation in terms of SL_n × Q-modules is given where Q is a quasitorus. This characterisation is more explicitly expanded in case n=3. It is shown that in case n=3 the class group rank is not greater than 3, however it is unbounded when n≥ 4.

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